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Finding the Fourth Proportional to 5,742.50, 8,611.90 and 2,232.26

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Solution

The fourth proportional to 5,742.50, 8,611.90 and 2,232.26 is: 3,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.50 : 8,611.90 = 2,232.26 : x
  2. Step 2: Convert to fraction form
    5,742.50/8,611.90 = 2,232.26/x
  3. Step 3: Cross multiply
    5,742.50x = 8,611.90 × 2,232.26
  4. Step 4: Simplify right side
    5,742.50x = 19,223,999.89
  5. Step 5: Solve for x
    x = 19,223,999.89/5,742.50
  6. Step 6: Final answer
    x = 3,347.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.